Product of Special Function and Polynomial Associated via Pathway Fractional Integral Operator
Pathway fractional integral operator/Srivastava polynomial/Struve function/generalized Struve function
Abstract
In present paper we introduce four theorems using pathway fractional integral operator involving product of Srivastava polynomial and generalized Struve function. Our results are quite general in nature. We obtain our results in term of hypergeometric function. Certain special cases of the main results are also obtained here. Our results will help to extend some classical statistical distribution to wider classes of distribution, these are useful in practical applications.
Downloads
How to Cite
References
K Bhowmick (1962) Some relations between a generalized Struve's function and hypergeometric functions. 5, 93-99.
K Bhowmick (1993) A generalized Struve's function and its recurrence formula. 6, 1-11.
C Fox (1928) The Asymptotic Expansion of Generalized Hypergeometric Functions. s2-27(1), 389-400.
Dinesh Kumar, S Purohit, A Secer, A Atangana (2015) On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind. 2015, 1-7.
Vishnu Mishra, D Suthar, S Purohit (2017) Marichev-Saigo-Maeda fractional calculus operators, Srivastava polynomials and generalized Mittag-Leffler function. 4(1), 1320830.
S Nair (2009) Journal of Fractional Calculus & Applications. 12(3), 237251.
K Nisar, S Purohit, Saiful. Mondal (2016) Generalized fractional kinetic equations involving generalized Struve function of the first kind. 28(2), 167-171.
E Rainville (1960) Special function.
S Samko, Kilbas Marichev, O (1993) Fractional integrals and Derivatives. Theory and Applications.
R Saxena, J Ram, J Daiya (2011) Fractional Integral of multivariable H-function via Pathway operator Ganita Sandesh. 25, 1-12.
S Sharma (2018) Certain fractional operator and generalized Struve function. 239-250.
R Singh (1985) Generalized Struve's function and its recurrence equation. 28, 287-292.
R Singh (1988) CERTAIN INTEGRAL TRANSFORMS OF THE GENERALIZED K-STRUVE FUNCTION. 59, 91-94.
R Singh (1988) On definite integrals involving generalized Struve's function. 22, 62-66.
R Singh (1989) Infinite integrals involving generalized Struve function. 23, 30-36.
H Srivastava, Junesang Choi (2013) Series Involving Zeta Functions. 245-397.
H Srivastava, R Saxena (2001) Operators of fractional integration and their applications. 118(1), 1-52.
H Srivastava (1968) On an extension of the Mittag-Leffler function. 16, 77-88.
E Wright (1935) The Asymptotic Expansion of the Generalized Hypergeometric Function. s1-10(4), 286-293.
Published
2022-06-01
Issue
Section
License
Copyright (c) 2022 Authors and Global Journals Private Limited

This work is licensed under a Creative Commons Attribution 4.0 International License.